816416 has 24 divisors (see below), whose sum is σ = 1661184. Its totient is φ = 394560.

The previous prime is 816401. The next prime is 816427. The reversal of 816416 is 614618.

It is a plaindrome in base 12.

It is a nialpdrome in base 16.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 816416.

It is an unprimeable number.

816416 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 581 + ... + 1403.

It is an arithmetic number, because the mean of its divisors is an integer number (69216).

2⁸¹⁶⁴¹⁶ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 816416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (830592).

816416 is an abundant number, since it is smaller than the sum of its proper divisors (844768).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

816416 is a wasteful number, since it uses less digits than its factorization.

816416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 864 (or 856 counting only the distinct ones).

The product of its digits is 1152, while the sum is 26.

The square root of 816416 is about 903.5574137818. The cubic root of 816416 is about 93.4624516794.

It can be divided in two parts, 8 and 16416, that multiplied together give a triangular number (131328 = T₅₁₂).

The spelling of 816416 in words is "eight hundred sixteen thousand, four hundred sixteen".